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Finding the Fourth Proportional to 51,216, 76,836.96 and 14,280

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Solution

The fourth proportional to 51,216, 76,836.96 and 14,280 is: 21,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,216 : 76,836.96 = 14,280 : x
  2. Step 2: Convert to fraction form
    51,216/76,836.96 = 14,280/x
  3. Step 3: Cross multiply
    51,216x = 76,836.96 × 14,280
  4. Step 4: Simplify right side
    51,216x = 1,097,231,788.80
  5. Step 5: Solve for x
    x = 1,097,231,788.80/51,216
  6. Step 6: Final answer
    x = 21,423.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.